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Problem-Solving and Data Analysis Difficulty: Medium

In the given scatterplot, a line of best fit for the data is shown.

Which of the following is closest to the slope of the line of best fit shown?

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Explanation

Choice C is correct. A line in the xy-plane that passes through points $left parenthesis x 1 comma y 1 right parenthesis$ and $left parenthesis x 2 comma y 2 right parenthesis$ has a slope of $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ . The line of best fit shown passes approximately through the points $left parenthesis 0 comma 0.2 right parenthesis$ and $left parenthesis 5 comma 9.3 right parenthesis$ . It follows that the slope of this line is approximately $\frac{9.3 - 0.2}{5 - 0}$ , which is equivalent to $StartFraction 9.1 Over 5 EndFraction$ , or $1.82$ . Therefore, of the given choices, $1.8$ is closest to the slope of the line of best fit shown.

Choice A is incorrect. This value is closest to the y-coordinate of the y-intercept of the line of best fit shown.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.